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3066240 = 27351597
BaseRepresentation
bin1011101100100110000000
312202210002110
423230212000
51241104430
6145415320
735030322
oct13544600
95683073
103066240
111804791
12103a540
13834858
1459b612
154087b0
hex2ec980

3066240 has 64 divisors (see below), whose sum is σ = 9779760. Its totient is φ = 817152.

The previous prime is 3066229. The next prime is 3066247. The reversal of 3066240 is 426603.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1122 + ... + 2718.

Almost surely, 23066240 is an apocalyptic number.

3066240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889880).

3066240 is an abundant number, since it is smaller than the sum of its proper divisors (6713520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3066240 is a wasteful number, since it uses less digits than its factorization.

3066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3066240 is about 1751.0682453862. The cubic root of 3066240 is about 145.2787345527.

The spelling of 3066240 in words is "three million, sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1597 1920 3194 4791 6388 7985 9582 12776 15970 19164 23955 25552 31940 38328 47910 51104 63880 76656 95820 102208 127760 153312 191640 204416 255520 306624 383280 511040 613248 766560 1022080 1533120 3066240